Base | Representation |
---|---|
bin | 1000011011011… |
… | …0011011010000 |
3 | 2110111222101120 |
4 | 2012312123100 |
5 | 33022201344 |
6 | 3301402240 |
7 | 606320610 |
oct | 206663320 |
9 | 73458346 |
10 | 35350224 |
11 | 18a55168 |
12 | ba09380 |
13 | 74292c0 |
14 | 49a2a40 |
15 | 3184219 |
hex | 21b66d0 |
35350224 has 80 divisors (see below), whose sum is σ = 112409472. Its totient is φ = 9321984.
The previous prime is 35350223. The next prime is 35350229. The reversal of 35350224 is 42205353.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 35350194 and 35350203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35350223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322 + ... + 8414.
Almost surely, 235350224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56204736).
35350224 is an abundant number, since it is smaller than the sum of its proper divisors (77059248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35350224 is a wasteful number, since it uses less digits than its factorization.
35350224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8124 (or 8118 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 24.
The square root of 35350224 is about 5945.6054359502. The cubic root of 35350224 is about 328.1940652079.
Adding to 35350224 its reverse (42205353), we get a palindrome (77555577).
The spelling of 35350224 in words is "thirty-five million, three hundred fifty thousand, two hundred twenty-four".
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